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Finding the Third Proportional to 3,209,344 and 6,971,968

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Solution

The third proportional to 3,209,344 and 6,971,968 is: 15,145,879.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209,344 : 6,971,968 = 6,971,968 : x
  2. Step 2: Convert to fraction form
    3,209,344/6,971,968 = 6,971,968/x
  3. Step 3: Cross multiply
    3,209,344x = 6,971,968 × 6,971,968
  4. Step 4: Simplify right side
    3,209,344x = 48,608,337,793,024
  5. Step 5: Solve for x
    x = 48,608,337,793,024/3,209,344
  6. Step 6: Final answer
    x = 15,145,879.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.